NAME: STUDENT NO: SIGNATURE: DEPARTMENT PHYSICS 102- Summer School- Instructor: M. Özgür OKTEL- June 19, 2006 QUIZ-6 An infinite thin wire is charged with line charge density λ . A metal cylindrical shell of inner radius a and outer radius b is concentric with the thin wire. If the total charge in the metal shell is zero. a) Find the magnitude of the electric field at a distance r from the wire for r<a b) Find the magnitude of the electric field inside the metal shell, a<r<b . c) Find the magnitude of the electric field outside the metal shell b<r . d) What is the surface charge density σ in the inner surface of the metal shell, and the outer surface of the metal shell?

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